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Simplifying 3(6x + -1) + -3(3x + -8) = 8x + 8 Reorder the terms: 3(-1 + 6x) + -3(3x + -8) = 8x + 8 (-1 * 3 + 6x * 3) + -3(3x + -8) = 8x + 8 (-3 + 18x) + -3(3x + -8) = 8x + 8 Reorder the terms: -3 + 18x + -3(-8 + 3x) = 8x + 8 -3 + 18x + (-8 * -3 + 3x * -3) = 8x + 8 -3 + 18x + (24 + -9x) = 8x + 8 Reorder the terms: -3 + 24 + 18x + -9x = 8x + 8 Combine like terms: -3 + 24 = 21 21 + 18x + -9x = 8x + 8 Combine like terms: 18x + -9x = 9x 21 + 9x = 8x + 8 Reorder the terms: 21 + 9x = 8 + 8x Solving 21 + 9x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 9x + -8x = 8 + 8x + -8x Combine like terms: 9x + -8x = 1x 21 + 1x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + 1x = 8 + 0 21 + 1x = 8 Add '-21' to each side of the equation. 21 + -21 + 1x = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 8 + -21 1x = 8 + -21 Combine like terms: 8 + -21 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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